21 citations · 21 across the 6 of their papers we have counts for
7 papers · 1 filter
Adaptation in a heterogeneous environment II: To be three or not to be
M. Alfaro, F. Hamel, F. Patout +1
We propose a model to describe the adaptation of a phenotypically structured population in a -patch environment connected by migration, with each patch associated with a differe…
The emergence of a birth-dependent mutation rate: causes and consequences
Florian Patout, R Forien, M Alfaro +2
In unicellular organisms such as bacteria and in most viruses, mutations mainly occur during reproduction. Thus, genotypes with a high birth rate should have a higher mutation rate…
Ancestral lineages in mutation-selection equilibria with moving optimum
Raphaël Forien, Jimmy Garnier, Florian Patout
We investigate the evolutionary dynamics of a population structured in phenotype, subjected to trait dependent selection with a linearly moving optimum and an asexual mode of repro…
Adaptation in general temporally changing environments
Lionel Roques, Florian Patout, Olivier Bonnefon +1
We analyze a nonlocal PDE model describing the dynamics of adaptation of a phenotypically structured population, under the effects of mutation and selection, in a changing environm…
The Cauchy problem for the infinitesimal model in the regime of small variance
Florian Patout
We study the asymptotic behavior of solutions of the Cauchy problem associated to a quantitative genetics model with a sexual mode of reproduction. It combines trait-dependent mort…
Asymptotic analysis of a quantitative genetics model withnonlinear integral operator
Vincent Calvez, Jimmy Garnier, Florian Patout
We study the asymptotic behavior of stationary solutions to a quantitative genetics model with trait-dependent mortality and sexual reproduction. The infinitesimal model accounts f…
Thin front limit of an integro--differential Fisher--KPP equation with fat--tailed kernels
Emeric Bouin, Jimmy Garnier, Christopher Henderson +1
We study the asymptotic behavior of solutions to a monostable integro-differential Fisher-KPP equation , that is where the standard Laplacian is replaced by a convolution term, whe…